Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the initial population and the population one week later, the rate of growth is given by:
k = 9/6 = 1.5.
The standard differential equation for population growth is:
Hence:
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A. 55%
because you have to add 21 and 45 then you divide the answer -66- by how much 2 hours is in minutes. The you get 0.55, so it equals 55%
Answer:
13.7 mph
Step-by-step explanation:
• d = st
Given:
- d = 32 miles
- t = 2 1/3 hr = 7/3 hr
Find the rate s:
- s = d/t
- s = 32-7/3 = 32 x 3/7 = 96/7 = 13.7 mph (rounded)
Answer:
3 treats each.
Step-by-step explanation:
3 cats divided by 10 = 9 remainder 1 and 3 times 3 = 9.
Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ← factor out 2x from each term
= 2x(2x² + 5x - 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x - 1)
Thus
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form
